{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3DEX6HY2GBCUJ5DVNIVP3A7DXD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c2c9a206ee5678b3c90a82628419c942aa3a51059962b3c580b9d542e9e0c025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-12T13:16:47Z","title_canon_sha256":"0848b05526094fcabe02a93cae7e121fc884d31892a13d237c9c7fa5e244f7a3"},"schema_version":"1.0","source":{"id":"1210.3509","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3509","created_at":"2026-05-18T01:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3509v2","created_at":"2026-05-18T01:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3509","created_at":"2026-05-18T01:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"3DEX6HY2GBCU","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3DEX6HY2GBCUJ5DV","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3DEX6HY2","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:7eb8ae18ed0879ce3d0b5f0194746ba968e2051050986dc11544badbc69eee91","target":"graph","created_at":"2026-05-18T01:53:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study isoperimetric surfaces in the Reissner-Nordstr\\\"om spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.","authors_text":"Andr\\'es E. Ace\\~na, Sergio Dain","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-12T13:16:47Z","title":"Stable isoperimetric surfaces in super-extreme Reissner-Nordstr\\\"om"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3509","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c348abb75f4cb4badbe6725f13ddb842542e07dd8993c71fc4b167a8aba70a53","target":"record","created_at":"2026-05-18T01:53:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c2c9a206ee5678b3c90a82628419c942aa3a51059962b3c580b9d542e9e0c025","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-10-12T13:16:47Z","title_canon_sha256":"0848b05526094fcabe02a93cae7e121fc884d31892a13d237c9c7fa5e244f7a3"},"schema_version":"1.0","source":{"id":"1210.3509","kind":"arxiv","version":2}},"canonical_sha256":"d8c97f1f1a304544f4756a2afd83e3b8f2d1e9a24c0adf58a0b249dfe1858706","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8c97f1f1a304544f4756a2afd83e3b8f2d1e9a24c0adf58a0b249dfe1858706","first_computed_at":"2026-05-18T01:53:56.234780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:56.234780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H5qd3F83wCYOpsTIxUaql19VL3JBJQp9vURfzLEDBiooecMJIXhfgbbpZn9yAIC7vXzH5dXsxxGKEBusnTdLCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:56.235290Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3509","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c348abb75f4cb4badbe6725f13ddb842542e07dd8993c71fc4b167a8aba70a53","sha256:7eb8ae18ed0879ce3d0b5f0194746ba968e2051050986dc11544badbc69eee91"],"state_sha256":"0641bb2ae369ff19a6c6d3d31af35d57a78443d88b8fcb37bff8f2961cc140f6"}